In this paper, we establish a geometric inequality with a parameter and involving two n dimensional simplexes and an interior point, some applications.
We propose a simple quantum voting machine using microwave photon qubit encoding, based on a setup comprising multiple microwave cavities and a coupled superconducting flux qutrit. This approach primarily relies on a ...We propose a simple quantum voting machine using microwave photon qubit encoding, based on a setup comprising multiple microwave cavities and a coupled superconducting flux qutrit. This approach primarily relies on a multi-control single-target quantum phase gate. The scheme offers operational simplicity, requiring only a single step, while ensuring verifiability through the measurement of a single qubit phase information to obtain the voting results. It provides voter anonymity, as the voting outcome is solely tied to the total number of affirmative votes. Our quantum voting machine also has scalability in terms of the number of voters.Additionally, the physical realization of the quantum voting machine is general and not limited to circuit quantum electrodynamics. Quantum voting machine can be implemented as long as the multi-control single-phase quantum phase gate is realized in other physical systems. Numerical simulations indicate the feasibility of this quantum voting machine within the current quantum technology.展开更多
Two-dimensional(2D)magnetic materials have been demonstrated to have excellent chemical,optical,electrical,and magnetic properties,particularly in the development of multifunctional electronic and spin electronic devi...Two-dimensional(2D)magnetic materials have been demonstrated to have excellent chemical,optical,electrical,and magnetic properties,particularly in the development of multifunctional electronic and spin electronic devices,showcasing tremendous potential.Therefore,corresponding synthesis techniques for 2D magnetic materials that offer high quality,high yield,low cost,time-saving,and simplicity are highly desired.This review provides a comprehensive overview of recent research advances in preparation of magnetic 2D materials,with a particular focus on the preparation methods employed.Moreover,the characteristics and applications of these magnetic materials are also discussed.Finally,the challenges and prospects of synthesis methods for magnetic 2D materials are briefly addressed.This review serves as a guiding reference for the controlled synthesis of 2D magnetic materials.展开更多
The authors give several new criteria to judge whether a simple convex polytope in a Euclidean space is combinatorially equivalent to a product of simplices. These criteria are mixtures of combinatorial, geometrical a...The authors give several new criteria to judge whether a simple convex polytope in a Euclidean space is combinatorially equivalent to a product of simplices. These criteria are mixtures of combinatorial, geometrical and topological conditions that are inspired by the ideas from toric topology. In addition, they give a shorter proof of a well known criterion on this subject.展开更多
1.Introduction We have defined the Conscious Turing Machine(CTM)for the purpose of investigating a theoretical computer science(TCS)approach to consciousness[1].For this,we have hewn to the TCS demand for simplicity a...1.Introduction We have defined the Conscious Turing Machine(CTM)for the purpose of investigating a theoretical computer science(TCS)approach to consciousness[1].For this,we have hewn to the TCS demand for simplicity and understandability.The CTM is consequently and intentionally a simple machine.It is not a model of the brain,though its design has greatly benefited—and continues to benefit—from neuroscience and psychology.展开更多
Recently,a superradiant phase transition first predicted theoretically in the quantum Rabi model(QRM)has been verified experimentally.This further stimulates the interest in the study of the process of phase transitio...Recently,a superradiant phase transition first predicted theoretically in the quantum Rabi model(QRM)has been verified experimentally.This further stimulates the interest in the study of the process of phase transition and the nature of the superradiant phase since the fundamental role of the QRM in describing the interaction of light and matter,and more importantly,the QRM contains rich physics deserving further exploration despite its simplicity.Here we propose a scheme consisting of two successive diagonalizations to accurately obtain the ground-state and excited states wavefunctions of the QRM in full parameter regime ranging from weak to deepstrong couplings.Thus,one is able to see how the phase transition occurs and how the photons populate in Fock space of the superradiant phase.We characterize the photon populations by borrowing the distribution concept in random matrix theory and find that the photon population follows a Poissonian-like distribution once the phase transition takes place and further exhibits the statistics of Gaussian unitary ensemble with increasing coupling strength.More interestingly,the photons in the excited states behave even like the statistics of Gaussian orthogonal ensemble.Our results not only deepen understanding on the superradiant phase transition but also provide an insight on the nature of the superradiant phase of the QRM and related models.展开更多
Located 35 kilometers northwest of Yinchuan City,Zhenbeibu China West Film Studio sits on the site of two ancient castle relics built during the Ming and Qing dynasties to defend against the invasion of tribes from th...Located 35 kilometers northwest of Yinchuan City,Zhenbeibu China West Film Studio sits on the site of two ancient castle relics built during the Ming and Qing dynasties to defend against the invasion of tribes from the north side of Helan Mountain.The Film Studio features primitive simplicity,originality,ruggedness,desolation,and a down to earth style.It is the only famous studio in West China.展开更多
In factor analysis, a factor loading matrix is often rotated to a simple target matrix for its simplicity. For the purpose, Procrustes rotation minimizes the discrepancy between the target and rotated loadings using t...In factor analysis, a factor loading matrix is often rotated to a simple target matrix for its simplicity. For the purpose, Procrustes rotation minimizes the discrepancy between the target and rotated loadings using two types of approximation: 1) approximate the zeros in the target by the non-zeros in the loadings, and 2) approximate the non-zeros in the target by the non-zeros in the loadings. The central issue of Procrustes rotation considered in the article is that it equally treats the two types of approximation, while the former is more important for simplifying the loading matrix. Furthermore, a well-known issue of Simplimax is the computational inefficiency in estimating the sparse target matrix, which yields a considerable number of local minima. The research proposes a new rotation procedure that consists of the following two stages. The first stage estimates sparse target matrix with lesser computational cost by regularization technique. In the second stage, a loading matrix is rotated to the target, emphasizing on the approximation of non-zeros to zeros in the target by least squares criterion with generalized weighing that is newly proposed by the study. The simulation study and real data examples revealed that the proposed method surely simplifies loading matrices.展开更多
With great love of life,everything unknown is worth looking forward to.This book is about friendship and love.In the story,Matthew and Marilla are the owners of the Green Gables farmhouse.They wanted a boy to help the...With great love of life,everything unknown is worth looking forward to.This book is about friendship and love.In the story,Matthew and Marilla are the owners of the Green Gables farmhouse.They wanted a boy to help them with thier farm work.But by chance,they adopted a red hair girl—Anne.At first,the siblings didn’t like her’s but as time passed,Anne’s simplicity and innocence slowly moved the siblings.In their hearts,Anne was a member of this family.Anne got into college through herself,but in order to take care of Marilla,she gave up going to college and chose to be a teacher.展开更多
文摘In this paper, we establish a geometric inequality with a parameter and involving two n dimensional simplexes and an interior point, some applications.
基金partly supported by the National Natural Science Foundation of China (Grant Nos.12074179 and U21A20436)the Innovation Program for Quantum Science and Technology (Grant No.2021ZD0301702)+2 种基金the Natural Science Foundation of Jiangsu Province,China (Grant Nos.BE2021015-1 and BK20232002)the Jiangsu Funding Program for Excellent Postdoctoral Talent (Grant No.20220ZB16)the Natural Science Foundation of Shandong Province,China (Grant No.ZR2023LZH002)。
文摘We propose a simple quantum voting machine using microwave photon qubit encoding, based on a setup comprising multiple microwave cavities and a coupled superconducting flux qutrit. This approach primarily relies on a multi-control single-target quantum phase gate. The scheme offers operational simplicity, requiring only a single step, while ensuring verifiability through the measurement of a single qubit phase information to obtain the voting results. It provides voter anonymity, as the voting outcome is solely tied to the total number of affirmative votes. Our quantum voting machine also has scalability in terms of the number of voters.Additionally, the physical realization of the quantum voting machine is general and not limited to circuit quantum electrodynamics. Quantum voting machine can be implemented as long as the multi-control single-phase quantum phase gate is realized in other physical systems. Numerical simulations indicate the feasibility of this quantum voting machine within the current quantum technology.
基金supported by the National Natural Science Foundation of China(Grant Nos.22175060 and 21975067)the Natural Science Foundation of Hunan Province of China(Grant Nos.2021JJ10014 and 2021JJ30092).
文摘Two-dimensional(2D)magnetic materials have been demonstrated to have excellent chemical,optical,electrical,and magnetic properties,particularly in the development of multifunctional electronic and spin electronic devices,showcasing tremendous potential.Therefore,corresponding synthesis techniques for 2D magnetic materials that offer high quality,high yield,low cost,time-saving,and simplicity are highly desired.This review provides a comprehensive overview of recent research advances in preparation of magnetic 2D materials,with a particular focus on the preparation methods employed.Moreover,the characteristics and applications of these magnetic materials are also discussed.Finally,the challenges and prospects of synthesis methods for magnetic 2D materials are briefly addressed.This review serves as a guiding reference for the controlled synthesis of 2D magnetic materials.
基金supported by the National Natural Science Foundation of China(No.11871266)the Priority Academic Program Development of Jiangsu Higher Education Institutions。
文摘The authors give several new criteria to judge whether a simple convex polytope in a Euclidean space is combinatorially equivalent to a product of simplices. These criteria are mixtures of combinatorial, geometrical and topological conditions that are inspired by the ideas from toric topology. In addition, they give a shorter proof of a well known criterion on this subject.
基金supported in part by Carnegie Mellon University(CMU)in part by a sabbatical year from CMU at the Simon’s Institute for the Theory of Computingin part by a generous gift from Uni DT。
文摘1.Introduction We have defined the Conscious Turing Machine(CTM)for the purpose of investigating a theoretical computer science(TCS)approach to consciousness[1].For this,we have hewn to the TCS demand for simplicity and understandability.The CTM is consequently and intentionally a simple machine.It is not a model of the brain,though its design has greatly benefited—and continues to benefit—from neuroscience and psychology.
基金supported by the National Key Research and Development Program of China(Grant No.2022YFA1402704)the National Natural Science Foundation of China(Grant Nos.11834005,12047501,and 12247101)。
文摘Recently,a superradiant phase transition first predicted theoretically in the quantum Rabi model(QRM)has been verified experimentally.This further stimulates the interest in the study of the process of phase transition and the nature of the superradiant phase since the fundamental role of the QRM in describing the interaction of light and matter,and more importantly,the QRM contains rich physics deserving further exploration despite its simplicity.Here we propose a scheme consisting of two successive diagonalizations to accurately obtain the ground-state and excited states wavefunctions of the QRM in full parameter regime ranging from weak to deepstrong couplings.Thus,one is able to see how the phase transition occurs and how the photons populate in Fock space of the superradiant phase.We characterize the photon populations by borrowing the distribution concept in random matrix theory and find that the photon population follows a Poissonian-like distribution once the phase transition takes place and further exhibits the statistics of Gaussian unitary ensemble with increasing coupling strength.More interestingly,the photons in the excited states behave even like the statistics of Gaussian orthogonal ensemble.Our results not only deepen understanding on the superradiant phase transition but also provide an insight on the nature of the superradiant phase of the QRM and related models.
文摘Located 35 kilometers northwest of Yinchuan City,Zhenbeibu China West Film Studio sits on the site of two ancient castle relics built during the Ming and Qing dynasties to defend against the invasion of tribes from the north side of Helan Mountain.The Film Studio features primitive simplicity,originality,ruggedness,desolation,and a down to earth style.It is the only famous studio in West China.
文摘In factor analysis, a factor loading matrix is often rotated to a simple target matrix for its simplicity. For the purpose, Procrustes rotation minimizes the discrepancy between the target and rotated loadings using two types of approximation: 1) approximate the zeros in the target by the non-zeros in the loadings, and 2) approximate the non-zeros in the target by the non-zeros in the loadings. The central issue of Procrustes rotation considered in the article is that it equally treats the two types of approximation, while the former is more important for simplifying the loading matrix. Furthermore, a well-known issue of Simplimax is the computational inefficiency in estimating the sparse target matrix, which yields a considerable number of local minima. The research proposes a new rotation procedure that consists of the following two stages. The first stage estimates sparse target matrix with lesser computational cost by regularization technique. In the second stage, a loading matrix is rotated to the target, emphasizing on the approximation of non-zeros to zeros in the target by least squares criterion with generalized weighing that is newly proposed by the study. The simulation study and real data examples revealed that the proposed method surely simplifies loading matrices.
文摘With great love of life,everything unknown is worth looking forward to.This book is about friendship and love.In the story,Matthew and Marilla are the owners of the Green Gables farmhouse.They wanted a boy to help them with thier farm work.But by chance,they adopted a red hair girl—Anne.At first,the siblings didn’t like her’s but as time passed,Anne’s simplicity and innocence slowly moved the siblings.In their hearts,Anne was a member of this family.Anne got into college through herself,but in order to take care of Marilla,she gave up going to college and chose to be a teacher.
